PopED Results 

        2015-03-20 12:43:48

==============================================================================
Model description : PopED model 

Model Sizes : 
Number of individual model parameters                  g[j]    : Ng    = 9
Number of population model fixed parameters            bpop[j] : Nbpop = 7
Number of population model random effects parameters   b[j]    : Nb    = 4

Typical Population Parameters (Uncertainty Distribution):
bpop[1]:  72.8 (Point value)
bpop[2]:  0.25 (Point value)
bpop[3]:  3.75 (Point value)
bpop[4]:   0.9 (Point value)
bpop[5]:  1120 (Point value)
bpop[6]: 0.807 (Point value)
bpop[7]: 0.0993 (Normal, Var=9.86e-05, %CV=   10)

Between Subject Variability matrix D (variance units) 
0.0900 0.0000 0.0000 0.0000
0.0000 0.0900 0.0000 0.0000
0.0000 0.0000 0.0625 0.0000
0.0000 0.0000 0.0000 0.0900

Diagonal Elements of D [sqrt(param)] (Uncertainty Distribution):
D[1,1]:  0.09 [  0.3] (Point value)
D[2,2]:  0.09 [  0.3] (Point value)
D[3,3]: 0.0625 [ 0.25] (Point value)
D[4,4]:  0.09 [  0.3] (Point value)

Residual Unexplained Variability matrix SIGMA (variance units) : 
4e-02 0e+00 0e+00 0e+00
0e+00 5e-06 0e+00 0e+00
0e+00 0e+00 9e-02 0e+00
0e+00 0e+00 0e+00 1e+02

Diagonal Elements of SIGMA [sqrt(param)] (Uncertainty Distribution):
SIGMA[1,1]:  0.04 [  0.2] (Point value)
SIGMA[2,2]: 5e-06 [0.002236] (Point value)
SIGMA[3,3]:  0.09 [  0.3] (Point value)
SIGMA[4,4]:   100 [   10] (Point value)

==============================================================================
Experiment description (design and design space)

Numer of individuals: 60
Number of groups (individuals with same design): 3
Numer of individuals per group:
     Group 1: 20
     Group 2: 20
     Group 3: 20
Numer of samples per group:
 Number of discrete experimental variables: 0
Number of model covariates: 2

Initial Sampling Schedule
Model 1 : Group 1 :      1      2      8    240    240
Model 2 : Group 1 :      1      2      8    240    240
Model 1 : Group 2 :      1      2      8    240    240
Model 2 : Group 2 :      1      2      8    240    240
Model 1 : Group 3 :      1      2      8    240    240
Model 2 : Group 3 :      1      2      8    240    240

Minimum allowed sampling values
Model 1 : Group 1 :      0      0      0    240    240
Model 2 : Group 1 :      0      0      0    240    240
Model 1 : Group 2 :      0      0      0    240    240
Model 2 : Group 2 :      0      0      0    240    240
Model 1 : Group 3 :      0      0      0    240    240
Model 2 : Group 3 :      0      0      0    240    240

Maximum allowed sampling values
Model 1 : Group 1 :     10     10     10    248    248
Model 2 : Group 1 :     10     10     10    248    248
Model 1 : Group 2 :     10     10     10    248    248
Model 2 : Group 2 :     10     10     10    248    248
Model 1 : Group 3 :     10     10     10    248    248
Model 2 : Group 3 :     10     10     10    248    248

Covariates  (min, max):
Group 1: 20 (0, 200) : 24 (2, 40)
Group 2: 40 (0, 200) : 24 (2, 40)
Group 3: 0 (0, 200) : 24 (2, 40)

===============================================================================
Initial design evaluation

OFV = 41.9291

Efficiency criterion [usually defined as OFV^(1/npar)]  = 1.45295

Initial design expected parameter variance 
and relative standard error (%RSE)
   Parameter     Values   Variance     RSE
     bpop[1]   7.28e+01   3.49e+01    8.12
     bpop[2]   2.50e-01   6.21e-04    9.97
     bpop[3]   3.75e+00   2.61e-02    4.30
     bpop[5]   1.12e+03   6.12e+03    6.98
     bpop[6]   8.07e-01   6.05e-03    9.64
     bpop[7]   9.93e-02   1.41e-03   37.75
      D[1,1]   9.00e-02   1.23e-03   38.96
      D[2,2]   9.00e-02   2.77e-03   58.53
      D[3,3]   6.25e-02   2.61e-04   25.83
      D[4,4]   9.00e-02   3.93e-04   22.04

==============================================================================
Criterion Specification

OFV calculation for FIM: 4 
  1=Determinant of FIM,
  4=log determinant of FIM,
  6=determinant of interesting part of FIM (Ds)

Approximation method: 0
  0=FO, 
  1=FOCE, 
  2=FOCEI, 
  3=FOI

Fisher Information Matrix type: 1
  0=Full FIM,
  1=Reduced FIM,
  2=weighted models,
  3=Loc models,
  4=reduced FIM with derivative of SD of sigma as pfim,
  5=FULL FIM parameterized with A,B,C matrices & derivative of variance,
  6=Calculate one model switch at a time, good for large matrices,
  7=Reduced FIM parameterized with A,B,C matrices & derivative of variance

Design family: 0
  D-family design (1) or 
  ED-familty design (0) 
  (with or without parameter uncertainty)

==============================================================================
Optimization of design parameters

* Optimize Sampling Schedule
* Optimize Covariates


*******************************
Initial Value
 OFV(mf) = 41.9291
*******************************

RS - It. : 3   OFV : 45.3558

*******************************
RS Results
 OFV(mf) = 45.3558

Optimized Sampling Schedule
Model 1 : Group 1 :      0  1.699  9.281  240.8    241
Model 2 : Group 1 :      0  1.699  9.281  240.8    241
Model 1 : Group 2 :      0  1.699  9.281  240.8    241
Model 2 : Group 2 :      0  1.699  9.281  240.8    241
Model 1 : Group 3 :      0  1.699  9.281  240.8    241
Model 2 : Group 3 :      0  1.699  9.281  240.8    241

Optimized Covariates:
Group 1: 17.4269 : 19.9284
Group 2: 43.1771 : 24.6382
Group 3: 17.915 : 25.0005

*********************************

===============================================================================
FINAL RESULTS

Optimized Sampling Schedule
Model 1 : Group 1 :      0  1.699  9.281  240.8    241
Model 2 : Group 1 :      0  1.699  9.281  240.8    241
Model 1 : Group 2 :      0  1.699  9.281  240.8    241
Model 2 : Group 2 :      0  1.699  9.281  240.8    241
Model 1 : Group 3 :      0  1.699  9.281  240.8    241
Model 2 : Group 3 :      0  1.699  9.281  240.8    241

Optimized Covariates:
Group 1: 17.4269 : 19.9284
Group 2: 43.1771 : 24.6382
Group 3: 17.915 : 25.0005

det(FIM) = 45.3558

Efficiency criterion [usually defined as OFV^(1/npar)]  = 1.46441

Efficiency (final_design/initial_design): 1.00789

Expected parameter variance 
and relative standard error (%RSE):
   Parameter     Values   Variance     RSE   RSE_initial_design
     bpop[1]   7.28e+01   2.31e+01    6.60                 8.12
     bpop[2]   2.50e-01   4.64e-04    8.62                 9.97
     bpop[3]   3.75e+00   1.86e-02    3.64                 4.30
     bpop[5]   1.12e+03   3.70e+03    5.43                 6.98
     bpop[6]   8.07e-01   3.82e-03    7.66                 9.64
     bpop[7]   9.93e-02   6.95e-04   26.55                37.75
      D[1,1]   9.00e-02   8.88e-04   33.10                38.96
      D[2,2]   9.00e-02   2.56e-03   56.23                58.53
      D[3,3]   6.25e-02   2.07e-04   23.03                25.83
      D[4,4]   9.00e-02   3.94e-04   22.06                22.04

Total running time: 6.913 seconds
